 

 
 
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation

 2 x length + 2 x width = 48

 

 
Find the length, in centimeters, if the width is: 3.6 centimeters

To solve for the length of the rectangle, we can use the equation for the perimeter of a rectangle, which is given by:

\[
2 \times \text{length} + 2 \times \text{width} = 48
\]

We are given:
- Width = 3.6 cm
- Perimeter = 48 cm

Let's plug the width into the equation:

\[
2 \times \text{length} + 2 \times 3.6 = 48
\]

Simplify the equation:

\[
2 \times \text{length} + 7.2 = 48
\]

Now, subtract 7.2 from both sides:

\[
2 \times \text{length} = 48 - 7.2
\]
\[
2 \times \text{length} = 40.8
\]

Next, divide both sides by 2:

\[
\text{length} = \frac{40.8}{2} = 20.4 \, \text{cm}
\]

So, the length of the rectangle is **20.4 cm**.

Would you like more details, or have any questions?

Here are 5 related questions for further practice:
1. What would the length be if the width were 4 cm?
2. How would you calculate the area of this rectangle?
3. If the perimeter increased to 50 cm, how would that affect the length?
4. What is the formula for the perimeter of other polygons?
5. How do you find the diagonal of a rectangle given its length and width?

**Tip:** Remember that the formula for the perimeter of a rectangle is always \( 2 \times (\text{length} + \text{width}) \).

The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2 x length + 2 x width = 48. Find the length, in centimeters, if the width is 3.6 centimeters.

Learn how to find the length of a rectangle when the perimeter is 48 cm and the width is 3.6 cm. This solution explains the formula for the perimeter of a rectangle and provides a step-by-step method to solve for the length. Ideal for students in Grades 6-8.

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